Details

analyze276.0ms (7.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
31.2%	50%	18.8%	7
34.3%	43.7%	22%	8
45.3%	26.5%	28.2%	9
46.8%	23.4%	29.8%	10
48.8%	14%	37.2%	11
49.8%	12.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	6.1%	40.6%	14

Compiler

Compiled 22 to 12 computations (45.5% saved)

sample27.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 45 to 25 computations (44.4% saved)

simplify131.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

613×	`sub-neg_binary64`
578×	`fma-neg_binary64`
529×	`neg-mul-1_binary64`
501×	`neg-sub0_binary64`
455×	`unsub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	26	23
2	60	23
3	130	16
4	335	16
5	881	16
6	1496	16
7	3511	16
8	4061	16
9	3977	16
10	4614	16
11	4771	16
12	4918	16
13	4914	16

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

6.9b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	7.0b	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	7.0b	(.f64 x.im (fma.f64 x.re (.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))

Compiler

Compiled 100 to 54 computations (46% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	0.1b	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
✓	0.1b	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	6.5b	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)

series48.0ms (1.4%)

Counts

4 → 96

Calls

4 calls:

17.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
15.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
11.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
5.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-*l/_binary64`
12×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64`
8×	`add-cbrt-cube_binary64`

Counts

4 → 77

Calls

4 calls:

6.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
5.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
5.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
3.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

simplify78.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

727×	`distribute-rgt-in_binary64`
685×	`distribute-lft-in_binary64`
245×	`associate-l_binary64`
206×	`associate-r_binary64`
181×	`distribute-rgt-out_binary64`

Counts

173 → 139

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	2758
1	427	2398
2	1675	2360
3	4822	2360

prune117.0ms (3.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	133	6	139
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	134	7	141

Error

0.0b

Counts

141 → 7

Alt Table

Status	Error	Program
	7.5b	(+.f64 (.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (cbrt.f64 x.im) (cbrt.f64 x.im))) (cbrt.f64 x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	6.9b	(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
▶	0.3b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	7.4b	(+.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (cbrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (.f64 (cbrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	7.0b	(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	7.4b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) (cbrt.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im))) (cbrt.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	7.0b	(.f64 x.im (fma.f64 x.re (.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))

Compiler

Compiled 4355 to 955 computations (78.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	0.1b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	0.1b	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	0.2b	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))

series29.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

16.0ms	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
13.0ms	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`associate-*l/_binary64`
18×	`flip-+_binary64`
18×	`flip3-+_binary64`
16×	`frac-add_binary64`
12×	`frac-times_binary64`

Counts

2 → 59

Calls

2 calls:

12.0ms	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
8.0ms	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))

simplify106.0ms (3%)

Algorithm

1×	egg-herbie

Rules

535×	`associate-l_binary64`
483×	`associate-r_binary64`
427×	`fma-neg_binary64`
304×	`distribute-rgt-out_binary64`
299×	`distribute-rgt-in_binary64`

Counts

107 → 103

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	3975
1	667	3223
2	3176	2270
3	4304	2268
4	4675	2268

prune169.0ms (4.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	158	8	166
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	161	12	173

Error

Counts

173 → 12

Alt Table

Status	Error	Program
	0.7b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))) (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)))) (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	7.4b	(+.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (cbrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (.f64 (cbrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	34.1b	(+.f64 (.f64 (sqrt.f64 (+.f64 x.re x.im)) (.f64 (sqrt.f64 (+.f64 x.re x.im)) (.f64 (-.f64 x.re x.im) x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	7.5b	(+.f64 (.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (cbrt.f64 x.im) (cbrt.f64 x.im))) (cbrt.f64 x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	7.0b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 2 (.f64 x.im (*.f64 x.re x.re))))
	6.9b	(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
▶	0.3b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	25.1b	(.f64 (sqrt.f64 (+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))) (sqrt.f64 (+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))))
	25.0b	(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))) (sqrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	0.8b	(+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 x.re x.im)) (cbrt.f64 (+.f64 x.re x.im))) (.f64 (cbrt.f64 (+.f64 x.re x.im)) (.f64 (-.f64 x.re x.im) x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	7.0b	(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	11.0b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (cbrt.f64 (.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (+.f64 (.f64 x.re x.im) (.f64 x.im x.re))) (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)))) x.re))

Compiler

Compiled 6413 to 1462 computations (77.2% saved)

localize28.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 x.re x.im) x.im)
	0.0b	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	0.1b	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	0.2b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

series30.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

23.0ms	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
7.0ms	(*.f64 (-.f64 x.re x.im) x.im)

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-l_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 34

Calls

2 calls:

11.0ms	(*.f64 (-.f64 x.re x.im) x.im)
0.0ms	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

simplify92.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

834×	`fma-def_binary64`
381×	`*-commutative_binary64`
379×	`exp-prod_binary64`
293×	`fma-neg_binary64`
252×	`associate-l_binary64`

Counts

82 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	1147
1	144	995
2	409	995
3	1394	925
4	3300	925
5	4985	925
6	4958	925

prune147.0ms (4.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	124	4	128
Fresh	6	5	11
Picked	0	1	1
Done	0	0	0
Total	130	10	140

Error

Counts

140 → 10

Alt Table

Status	Error	Program
	7.0b	(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	11.0b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (cbrt.f64 (.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (+.f64 (.f64 x.re x.im) (.f64 x.im x.re))) (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)))) x.re))
	7.5b	(+.f64 (.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (cbrt.f64 x.im) (cbrt.f64 x.im))) (cbrt.f64 x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	6.9b	(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
✓	0.3b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	0.7b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))) (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)))) (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	0.6b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (.f64 (.f64 2 (.f64 x.im x.re)) (.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))) (cbrt.f64 x.re)))
	33.8b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (.f64 (.f64 2 (*.f64 x.im x.re)) (sqrt.f64 x.re)) (sqrt.f64 x.re)))
	25.0b	(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))) (sqrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	0.7b	(fma.f64 (+.f64 x.re x.im) (.f64 (.f64 (cbrt.f64 (-.f64 x.re x.im)) (cbrt.f64 (-.f64 x.re x.im))) (.f64 (cbrt.f64 (-.f64 x.re x.im)) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Compiler

Compiled 3513 to 851 computations (75.8% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (.f64 (.f64 2 (.f64 x.im x.re)) (.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))) (cbrt.f64 x.re)))
✓	0.2b	(.f64 (.f64 2 (.f64 x.im x.re)) (.f64 (cbrt.f64 x.re) (cbrt.f64 x.re)))
✓	0.5b	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
✓	0.6b	(cbrt.f64 x.re)

series528.0ms (14.9%)

Counts

4 → 72

Calls

4 calls:

419.0ms	(.f64 (.f64 2 (.f64 x.im x.re)) (.f64 (cbrt.f64 x.re) (cbrt.f64 x.re)))
45.0ms	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
34.0ms	(cbrt.f64 x.re)
29.0ms	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (.f64 (.f64 2 (.f64 x.im x.re)) (.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))) (cbrt.f64 x.re)))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`pow1_binary64`
27×	`add-exp-log_binary64`
21×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
19×	`add-cbrt-cube_binary64`

Counts

4 → 95

Calls

4 calls:

12.0ms	(.f64 (.f64 2 (.f64 x.im x.re)) (.f64 (cbrt.f64 x.re) (cbrt.f64 x.re)))
5.0ms	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
1.0ms	(cbrt.f64 x.re)
0.0ms	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (.f64 (.f64 2 (.f64 x.im x.re)) (.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))) (cbrt.f64 x.re)))

simplify124.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

583×	`*-commutative_binary64`
508×	`fma-def_binary64`
426×	`exp-prod_binary64`
279×	`distribute-rgt-in_binary64`
261×	`log-prod_binary64`

Counts

167 → 136

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	139	2282
1	299	1921
2	1166	1796
3	2213	1782
4	4352	1690
5	4805	1690
6	4914	1690

prune186.0ms (5.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	172	10	182

Error

Counts

182 → 10

Alt Table

Status	Error	Program
	7.0b	(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	11.0b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (cbrt.f64 (.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (+.f64 (.f64 x.re x.im) (.f64 x.im x.re))) (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)))) x.re))
	7.5b	(+.f64 (.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (cbrt.f64 x.im) (cbrt.f64 x.im))) (cbrt.f64 x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	6.9b	(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
✓	0.3b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
✓	0.6b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (.f64 (.f64 2 (.f64 x.im x.re)) (.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))) (cbrt.f64 x.re)))
	25.0b	(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))) (sqrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	0.6b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (.f64 (.f64 2 (.f64 x.im x.re)) (.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))) (cbrt.f64 (cbrt.f64 x.re)))))
	0.9b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (.f64 (.f64 2 (.f64 x.im x.re)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x.re)) 5) (cbrt.f64 (cbrt.f64 x.re)))) (cbrt.f64 x.re)))
	0.7b	(fma.f64 (+.f64 x.re x.im) (.f64 (.f64 (cbrt.f64 (-.f64 x.re x.im)) (cbrt.f64 (-.f64 x.re x.im))) (.f64 (cbrt.f64 (-.f64 x.re x.im)) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Compiler

Compiled 4958 to 1545 computations (68.8% saved)

regimes405.0ms (11.4%)

Accuracy

Total 0.2b remaining (87.7%)

Threshold costs 0.2b (87.7%)

Counts

130 → 1

Compiler

Compiled 10224 to 5271 computations (48.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	18	23
2	23	23
3	25	23
4	26	23
5	26	23

end0.0ms (0%)

Compiler: Compiled 18 to 10 computations (44.4% saved)

sample896.0ms (25.2%)

Algorithm

1×

intervals

Results

496.0ms	8000×	body	128	valid
33.0ms	575×	body	128	invalid

Compiler

Compiled 311 to 152 computations (51.1% saved)

Details

analyze276.0ms (7.8%)

sample27.0ms (0.8%)

simplify131.0ms (3.7%)

prune4.0ms (0.1%)

localize12.0ms (0.3%)

series48.0ms (1.4%)

rewrite26.0ms (0.7%)

simplify78.0ms (2.2%)

prune117.0ms (3.3%)

localize11.0ms (0.3%)

series29.0ms (0.8%)

rewrite29.0ms (0.8%)

simplify106.0ms (3%)

prune169.0ms (4.8%)

localize28.0ms (0.8%)

series30.0ms (0.8%)

rewrite13.0ms (0.4%)

simplify92.0ms (2.6%)

prune147.0ms (4.1%)

localize14.0ms (0.4%)

series528.0ms (14.9%)

rewrite24.0ms (0.7%)

simplify124.0ms (3.5%)

prune186.0ms (5.2%)

regimes405.0ms (11.4%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample896.0ms (25.2%)

Profiling